The Young's modulus of a wire of length $L$ and radius $r$ is $Y$. If the length is reduced to $\frac{L}{2}$ and radius is $\frac{r}{2}$ , then the Young's modulus will be

  • A

    $\frac{Y}{2}$

  • B

    $Y$

  • C

    $2Y$

  • D

    $4Y$

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